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Finding the Fourth Proportional to 408,051.98, 612,077.96 and 221,427.98

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Solution

The fourth proportional to 408,051.98, 612,077.96 and 221,427.98 is: 332,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.98 : 612,077.96 = 221,427.98 : x
  2. Step 2: Convert to fraction form
    408,051.98/612,077.96 = 221,427.98/x
  3. Step 3: Cross multiply
    408,051.98x = 612,077.96 × 221,427.98
  4. Step 4: Simplify right side
    408,051.98x = 135,531,183,778.50
  5. Step 5: Solve for x
    x = 135,531,183,778.50/408,051.98
  6. Step 6: Final answer
    x = 332,141.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.